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Finding the Fourth Proportional to 92,548.42, 138,877.90 and 85,019.60

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Solution

The fourth proportional to 92,548.42, 138,877.90 and 85,019.60 is: 127,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,548.42 : 138,877.90 = 85,019.60 : x
  2. Step 2: Convert to fraction form
    92,548.42/138,877.90 = 85,019.60/x
  3. Step 3: Cross multiply
    92,548.42x = 138,877.90 × 85,019.60
  4. Step 4: Simplify right side
    92,548.42x = 11,807,343,506.84
  5. Step 5: Solve for x
    x = 11,807,343,506.84/92,548.42
  6. Step 6: Final answer
    x = 127,580.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.